We describe here a vector finite difference approach (VFD) to the evaluation of eigenvalues and modes of elliptical wave guides. The FD is applied using a 2D elliptical grid in the waveguide section. A suitable Taylor expansion of the vector mode function allows to take exactly into account the boundary condition. To prevent the raising of spurious modes, our FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evaluated comparing our results to known data for the elliptic case.
VFD approach to the computation TE and TM modes in elliptic waveguide on TM grid
FANTI, ALESSANDRO;MONTISCI, GIORGIO;MAZZARELLA, GIUSEPPE;CASULA, GIOVANNI ANDREA
2013-01-01
Abstract
We describe here a vector finite difference approach (VFD) to the evaluation of eigenvalues and modes of elliptical wave guides. The FD is applied using a 2D elliptical grid in the waveguide section. A suitable Taylor expansion of the vector mode function allows to take exactly into account the boundary condition. To prevent the raising of spurious modes, our FD approximation results in a constrained eigenvalue problem, that we solve using a decomposition method. This approach has been evaluated comparing our results to known data for the elliptic case.
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